Questions tagged [number-sequence]

A puzzle that asks for the pattern (and usually the next term) in a given number sequence. Use with [sequence]

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Two IQ test sequences

I found this IQ test (http://free.ultimaiq.net/nse.htm) and can't seem to solve question 18 and 19: Q18: 120, 10, 3, ?, ? Q19: 41, 23, 61, ?
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Introducing S-sequences: which is the shortest to contain all integers 1 to 20?

Consider a sequence (finite or infinite) of different positive integers, such as the following, in which the first term is 1, and thereafter the nth term is either the previous term plus n, minus n, ...
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What is the next number of the sequences? [closed]

What is the next number and why? 3,7,10,11,12,17,?
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Guess the next number in the sequence 15 20 20 6 6 19 19 5 14 20 14 23 8 15?

What would you put next in the below sequence? 15 20 20 6 6 19 19 5 14 20 14 23 8 15 ?
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Find the value of x in given series [closed]

57, 72, 98, 21, 34, x, 123 I have tried all sorts of combinations of addition, subtraction, multiplication, division, remainders but none seems to work out. Source:
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1answer
441 views

What is the value of x in the given puzzle?

What is the value of x in the given puzzle? So many tries, I still haven't got the right answer. Is there any mistake in the puzzle? Our teacher gave it us. He was asked by another teacher. Plain-...
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1answer
263 views

Formula for the sequence 1, 1, 1, 21, 3, 1, 4, 1, 5, 1, 6,

The sequence 1, 1, 1, 21, 3, 1, 4, 1, 5, 1, 6, ... appeared in one of my tutorial sheets in 2019. I assumed that the fourth term, 21, was a mistake (was supposed to be ..., 2, 1, ...) then it made ...
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175 views

The smallest number

Some time ago I created a program to generate a table, and printed the first seven rows and columns. Somehow however I forgot to print the headers and the title of the table. I only remember that it ...
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1answer
273 views

Find the next number in the following sequence: 109080, 12123, 1350, 153

I came across this sequence in the paper: 109080, 12123, 1350, 153, ? What could be the next number? And what is the pattern that connects these numbers? Dividing a term by the next term leads to a ...
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2answers
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What number comes next in 2, 4, 5, 3, 10, …

2, 4, 5, 3, 10, 11, 13, 7, 5, 28, 29, 31, 35, ??? I tried plugging it into Wolfram Alpha which couldn't find any pattern, and I'm still not too sure how to determine what number comes next. Any ideas?...
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200 views

What number comes next in this evenly doubled sequence?

I've been playing around with sequences lately and found a pretty evenly doubled sequence of single digit numbers: 1, 12, 30, 64, 65, 156, 175, 368, 369, 371, 752, 753, 1524, 1525, 3060, 3073, 6168, ...
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141 views

An oddly formed sequence?

I've been playing around with sequences lately and came across one that was rather, odd. $101$, $123$, $147$, $189$, $191$, $213$, $217$, $279$, $...$ Hints Let $N_i = 101$... Can you determine the ...
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190 views

As simple as 1,2,3?

What is the next number in the sequence? 1, 2, 4, 3, 9, 5, 6, 10, 16, 7, 11, 8, 25, 12, 17, 13, 14, 18, 36, 15, 26, 19, 20, 21, 49, 27, 22, 23, 28, 37, 24, 29, 64, 30, 31, 38, 32, 33, 50, 39, 81, 34, ...
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Modification of 100 lightbulbs problem (everyone flips 100 bulbs each)

This is a modification to the usual 100 lightbulbs in a room puzzle. Like before, the first person flips the switch of every lightbulb. However, while the second person also starts from the first ...
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What comes next in this sequence? 2, 3, 1, 5, 7, …

Here's a sequence I can't solve. It includes every number from 1-14, does not include 15 and 16, and then has a 17. I think there may be a pattern in natural number progression but can't find it. What ...
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I need help deciphering what looks like a binary message

I was watching a YouTube video and it’s filled with secret messages and codes. The last two codes were in binary and inserting them into a translator provided correct answers. However, that's not ...
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Find the missing number in this transformation

I've recently come across this puzzle. 2,5,8 = 122348 3,5,4 = 181224 7,4,6 = 352230 5,3,10 = 203340 3,9,4 = ? I was able to figure out 30**40 but couldn't proceed ...
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1answer
196 views

119, 019, 609, 809, ?, 909 - A number sequence

119, 019, 609, 809, xxx, 909 What is the underlying principle here? Source: 2.2., 4, https://www.helsinki.fi/sites/default/files/atoms/files/psykologia_valintakoe_2019.pdf
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1answer
459 views

Sequence Puzzle - First Question of 42

Professor Tera was walking on Connecticut Road, where there are some public restrooms. Tera saw some students standing in a row. They seemed to be playing a game called Evolution. And it looked like ...
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1answer
262 views

Patterns - they're everywhere!

You wake up in a room (again) that has two floors, Both have 3 puzzles. In order to escape, You have to find every answer in this order: Red Yellow Green Cyan Navy Pink and combine it together (eg if ...
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A predictable sequence

"Four, four, four, ..." droned the random number generating monster. "Are you sure that's random?" I asked. "That's the problem with randomness, you can never be sure!" ...
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Sequence with all terms divisible by 8

Let's have the following infinite sequence 3968, 13224, 30624, 59048, ? What is the next term, replacing the question mark? Why are all the terms of this infinite sequence divisible by 8?
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1answer
166 views

Your typical math sequence

1, 2, 16, 4, 16, 16, 52, ?, 52, 16, 52, ?, 40, 52, ? What are these question marks? a) 8, 16, 160 b) 16, 8, 190 c) 52, 16, 160 d) 8, 25, 90 e) Impossible to determine
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Colorful Pattern Puzzle with Arrows and Warning Signs

This is my first time on Puzzling Stack Exchange. I challenge you to solve this puzzle I made, impossible to everyone else except for me as far as I know. Can you solve it?
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3answers
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Specific numbers and a blank box

There are 2 rows of numbers shown below. Which number belongs to the blank box with a question mark? Please choose from the three options stated. Why were these particular numbers chosen?
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Mount Olympics?

A friend sent me the following sequence of numbers with the above title. They said it took them, and their friend wiki, 37 summers to frame it. 83, 55, 45, 44, 37, 36, 48, 46, 46, __ Can you help me ...
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1answer
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A Harry Potter sequence puzzle

What is the next term in the following sequence based on Harry Potter? None, 16, None, 16, 5, 9, ?
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170 views

Numbers sequencing and decoding... (#1)

Part 1: Q1,E2,T3,U4,O5,A6,D7,___ Find ___. Clue: draobyek Part 2: ode coded math is slogan done bans were math eroded question: eco desperate minus 14362 i22096 up ____ down. eulc? Clue: Word sin ...
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1answer
755 views

What's the last number in my wordy number sequence?

I have a wordy number sequence, partially shown below: $ {1, 45.2548, 1262.6650, 32768, 390625, 10077696, 282475249, 3037000499.976, 31381059609, ... }$ Can you find the last number in the sequence? ...
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1answer
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A Sequence That Keeps Changing?

So I get this special sequence of "items" as the following: 2 1 3 4 7 8 2 5 2 3 9 But look! If I put some numbers (randomly) in front of the sequence: 3 4 2 1 3 4 7 8 2 5 2 3 8 And yeah! ...
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Sequence puzzle: 3, 9, 27

A twist of the classic sequence game: A friend asked me to find the rule to this sequence: 3, 9, 27. I am allowed to suggest other sequences to test if they follow that (unknown to me) rule, to which ...
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419 views

Find the next number: 1, 9, 19, 30, 41.5,?

What is the next number in the list, and what is the secret formula for this list? 1, 9, 19, 30, 41.5, ?
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Find the next number in the weird sequence

The following sequence has been made using a specific pattern and the last number is kept secret. We have to find that number along with the pattern followed to make the sequence. 3, 11, 32, 71, 136, ...
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2answers
208 views

Square sequence puzzle 3

Find what comes next in the following sequence: 1,4,9,6,0,8,8,8,8,0,2,6,0,0,? Bonus 1: What is the rule? Bonus 2:
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4answers
429 views

Number Sequence Series – Question 1

I want to share a question that is created by myself. I will give a hint in 24 hours and my answer in 3 days given that nobody could answer my question. Here is my number sequence: $3/2, 2/3, 3/4, 1/3,...
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1answer
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Square sequence puzzle two

Find what comes next in the following sequence: 0,1,4,9,7,7,9,13,10,9,1,? Bonus: What is the rule?
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131 views

Square sequence puzzle

Find what comes next in the following sequence. 01, 04, 09, 16, 25, 36, 49, 64, 81, 00, 21, 44, 69, 96, 25, ? Bonus: What is the rule of the sequence?
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1answer
330 views

A number sequence with a specific property

The following increasing number sequence follows a specific number property: 1 2 3 8 10 11 12 13 20 21 22 30 31 68 ... Find the property and the next two numbers Hint: Hint 2:
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Two sequences in one

The following sequence of numbers is related to two well known sequences in the OEIS, the On-Line Encyclopedia of Integer Sequences: 3, 4, 7, 10, 16, 21, 30, 40, 57, 84, 120, 181, 274, 420,... a) ...
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1answer
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Another Sequence of Sequences [duplicate]

Examine the following seven sequences of numbers: 1 11 21 1112 3112 211213 312213 What are the next seven sequences of numbers? What is the hundredth sequence in the series? Puzzle by the late ...
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322 views

Finding the root of a basic sequence

The sequence starts with the following: a1 = 1, a2 = 2, a3 = 5, a4 = 4, a5 = 6, a6 = 10, a7 = 9, a8 = 8, a9 = 21, a10 = 12, a11 = 13, a12 = 20, a13 = 33, a14 = 15, a15 = 42, a16 = 16, a17 = 19, a18 = ...
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The nice and round sequence

I have thought up a sequence, and I name it the nice and round sequence. Its first 10 numbers are 15773, 29694, 165083, 276316, 496325, 498512, 702504, 719466, 808667, 826245 What is its pattern? ...
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3answers
740 views

Cryptobiology? Biocryptology?

I have a friend who is a self-proclaimed cryptobiologist. Okay, maybe I don't, but if I did, I like to think she would have presented me with this puzzle: Find the hidden message: 441344•...
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1answer
179 views

Sequence of large numbers - 97613377, 239783652

Let's have the following sequence 43, 108, 5737, 13932, 97613377, 239783652,? What number belongs where the question mark is? HINT: The next number is 28693771291496497. What is the next term after ...
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Find the missing number in the series: 4, 12, 14, 16, ?, 25 [closed]

Numbers in the series: 4, 12, 14, 16, ?, 25 Please help me find the missing number in the series above. I have already tried with different sequences but unable to solve this.
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What is the next number in the series?

What is the next number of this series? 1 , 4 , 5 , 6 , 7 , 9 , 11 ?
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1answer
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Next in the number sequence problem: 20, 21, 33, 68, 172.5, 520.5

20, 21, 33, 68, 172.5, 520.5, ? What will come next in this number sequence problem?
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1answer
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Expressing values of irrationals in the form of fractions

Let's have the following sequence of fractions: $\frac{24}{17}, \frac{816}{577}, \frac{941664}{665857}, ?$. What is the next fraction in this sequence?
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1answer
210 views

Unusual sequence of fractions

Let's have the following sequence of fractions: $\frac{156}{51}, \frac{756}{251}, \frac{3756}{1251}, ? $ . What fraction replaces the question mark?
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1answer
261 views

Not a Fibonacci sequence

What is the next term in the sequence? 1, 1, 2, 3, 5, 8, 18, 34, 60, 120, 214, 394, 788 hints: #1

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